You are all talking about separate invoices emitted by the same company/individual.
As we said, the way to do it legally is to have the aircraft leased SEPARATELY. I do understand Rich is not owning any aircraft. As long as his passengers are getting the plane on their own, and then asks Rich to fly it, it's absolutely legal, and once again the French CAA confirmed it.
Why do you insist with your AOC stuff ? How many guys do you know that got an AOC to conduct seldom private flights (and for free ?). The AOC is for commercial purposes, and what Rich is doing is not commercial, it's private operations.
Since he is not getting paid, he could even do it with a simple PPL !